A refrigerator in the shape of a rectangular prism has a depth of 28 inches, a width of 36 inches, and a height of 66 inches. Wh
1 answer:
Answer:
The volume of refrigerator is <u>66528 cubic inches</u>.
Step-by-step explanation:
Given:
A refrigerator in the shape of a rectangular prism has a depth of 28 inches, a width of 36 inches, and a height of 66 inches.
Now, to get the volume of refrigerator.
As, the refrigerator in the shape of a rectangular prism.
The dimensions of refrigerator are:
Length = 28 inches.
Width = 36 inches.
Height = 66 inches.
Now, to get the volume of the refrigerator we put formula:
Therefore, the volume of refrigerator is 66528 cubic inches.
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<h2>SOLVING</h2>
Find the point-slope equation of the line, with the info given
Formula used,
| result
Answer:
Probability that the average time spent studying for the sample was between 29 and 30 hours studying is 0.0321.
Step-by-step explanation:
We are given that the number of hours spent studying the week before final exams was normally distributed with mean 25 and standard deviation 15.
A sample of 36 students was selected.
<em>Let </em><em> = sample average time spent studying</em>
The z-score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = population mean hours spent studying = 25 hours
= standard deviation = 15 hours
n = sample of students = 36
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
Now, Probability that the average time spent studying for the sample was between 29 and 30 hours studying is given by = P(29 hours < < 30 hours)
P(29 hours < < 30 hours) = P(
< 30 hours) - P(
29 hours)
P( < 30 hours) = P(
<
) = P(Z < 2) = 0.97725
P(
29 hours) = P(
) = P(Z
1.60) = 0.94520
<em>So, in the z table the P(Z </em><em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2 and x = 1.60 in the z table which has an area of 0.97725 and 0.94520 respectively.</em>
Therefore, P(29 hours < < 30 hours) = 0.97725 - 0.94520 = 0.0321
Hence, the probability that the average time spent studying for the sample was between 29 and 30 hours studying is 0.0321.